Further developments of the extended quadrature method of moments to solve population balance equations

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dc.authoridDutta, Abhishek/0000-0002-0714-1119
dc.authorscopusid54990019800
dc.authorscopusid57203557162
dc.authorwosidDutta, Abhishek/A-7039-2010
dc.contributor.authorTuran, Meltem
dc.contributor.authorDutta, Abhishek
dc.date.accessioned2024-08-25T18:53:00Z
dc.date.available2024-08-25T18:53:00Z
dc.date.issued2023
dc.departmentEge Üniversitesien_US
dc.description.abstractDeveloping numerical methods to solve polydispersed flows using a Population Balance Equation (PBE) is an active research topic with wide engineering applications. The Extended Quadrature Method of Moments (EQMOM) approximates the number density as a positive mixture of Kernel Density Functions (KDFs) that allows physical source terms in the PBEs to compute continuous or point-wise form according to the moments. The moment-inversion procedure used in EQMOM has limitations such as the inability to calculate certain roots even if it is defined, absence of consistent result when multiple roots exist or when the roots are nearly equal. To address these limitations, the study proposes a modification of the moment-inversion procedure to solve the PBE based on the proposed Halley-Ridder (H-R) method. Although there is no significant improvement in the extent of variability relative to the mean of the tested shape parameter cr values, an increase in the number of floating point operations (FLOPS) is observed which the proposed algorithm responds in limitations mentioned above. The total number of FLOPS for all the kernels used for the approximation increased by around 30%. This is an improvement towards the development of a more reliable and robust moment-inversion procedure.en_US
dc.identifier.doi10.1016/j.heliyon.2023.e18636
dc.identifier.issn2405-8440
dc.identifier.issue8en_US
dc.identifier.pmid37576218en_US
dc.identifier.scopus2-s2.0-85166303194en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org/10.1016/j.heliyon.2023.e18636
dc.identifier.urihttps://hdl.handle.net/11454/102926
dc.identifier.volume9en_US
dc.identifier.wosWOS:001052617600001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakPubMeden_US
dc.language.isoenen_US
dc.publisherCell Pressen_US
dc.relation.ispartofHeliyonen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmz20240825_Gen_US
dc.subjectMoment-inversion procedureen_US
dc.subjectHalley-Ridder methoden_US
dc.subjectExtended quadrature method of momentsen_US
dc.subjectPopulation balance equationen_US
dc.subjectSize Distributionsen_US
dc.subjectAlgorithmen_US
dc.titleFurther developments of the extended quadrature method of moments to solve population balance equationsen_US
dc.typeArticleen_US

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